Mild solutions of nonlocal semilinear evolution equations on unbounded intervals via approximation solvability method in reflexive Banach spaces

Autor:	Luigi Muglia, Vittorio Colao, Hong-Kun Xu
Rok vydání:	2021
Předmět:	Weak topology Applied Mathematics 010102 general mathematics Mathematical analysis Banach space Interval (mathematics) 01 natural sciences 010101 applied mathematics Reduction (complexity) Continuation Nonlinear system Compact space Evolution equation 0101 mathematics Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 498:124938
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2021.124938
Popis:	We study the existence of mild solutions for a nonlocal semilinear evolution equation on unbounded interval by means of an approximation solvability method without assuming compactness on the evolution system and on the nonlinearity. The method is based on the reduction to a finite dimensional problem by means of the projections solved by a fixed point approach that includes a compactness criterion on BC ( [ 0 , + ∞ ) , E ) . Continuation principle and weak topology are used as well.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7d2b1019858fe039363c0891071d8e95 https://doi.org/10.1016/j.jmaa.2021.124938 Zobrazit plný text záznamu Full Text from ScienceDirect